Musical Improvisation - Embellishments

In music an embellishment is simply “a bunch of extra stuff”.
Here we add a number of grace notes to the start of our “real”
notes.

This is probably not a very good example—it is trying to show
way to many options. In the first bar the grace notes are a “traditional” way a scoop might be notated; in the third bar we use
a conventional jazz notation. In bars two and four we show a fall at
the end of a note; yes, a curve is played differently from a
straight line. But, try it, slowly at first. Can you
slur the grace notes? Play them separately? Make
the slur sound like a slide (like a trombone).

You can add falls at the end of a note (notated by the curve or
line after
a note), play vibrato on some notes
and not others, trills, and anything else which comes to mind. The options
are truly limitless. Here are some standard notations used on
jazz
leadsheets. Endless possibilities!